Tube Concept for Entangled Stiff Fibers Predicts Their Dynamics in Space and Time

Abstract

We study dynamically crowded solutions of stiff fibers deep in the semidilute regime, where the motion of a single constituent becomes increasingly confined to a narrow tube. The spatiotemporal dynamics for wave numbers resolving the motion in the confining tube becomes accessible in Brownian dynamics simulations upon employing a geometry-adapted neighbor list. We demonstrate that in such crowded environments the intermediate scattering function, characterizing the motion in space and time, can be predicted quantitatively by simulating a single freely diffusing phantom needle only, yet with very unusual diffusion coefficients.

11 pages, Physical Review Letters, includes Supplemental Material

References in corpus (6)

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• Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
• Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod
• Entangled Dynamics of a Stiff Polymer
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• Two-dimensional Brownian motion of anisotropic dimers
• Dynamically Crowded Solutions of Infinitely Thin Brownian Needles
• Elastic behavior of a semiflexible polymer in 3D subject to compression and stretching forces
• Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression
• Depinning transition of self-propelled particles
• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles